Captive automotive dealer support financiers would highly unlikely request additional and/or implied financial products such as ext warranties, L&D or LOE insurances on the submitted conditional sales contract.
This sounds more like the F&I manager using suggestive selling tactics to increase his ext warranty penetration
Even if your credit was marginal (if the F&I manager skates around verbage suggesting security etc) the financier would request further cap cost reduction vs add-ons